2122055364006 has 96 divisors (see below), whose sum is σ = 4896801000000. Its totient is φ = 661843353600.

The previous prime is 2122055363977. The next prime is 2122055364059. The reversal of 2122055364006 is 6004635502212.

2122055364006 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 5 + 5 + 3 + 640 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76042656 + ... + 76070556.

It is an arithmetic number, because the mean of its divisors is an integer number (51008343750).

Almost surely, 2^{2122055364006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122055364006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448400500000).

2122055364006 is an abundant number, since it is smaller than the sum of its proper divisors (2774745635994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122055364006 is a wasteful number, since it uses less digits than its factorization.

2122055364006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29374 (or 29371 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2122055364006 in words is "two trillion, one hundred twenty-two billion, fifty-five million, three hundred sixty-four thousand, six".